COATINGS DISCRETE SURFACES CONSTRUCTION BY SUPERPOSITIONS OF ADJUSTED MESH FRAMES
DOI:
https://doi.org/10.26906/znp.2018.50.1056Keywords:
discrete geometric modeling, discrete surface frame, coating surfaces, static-geometric method, the external shaping load value, geometric apparatus of superimpositions, coefficients of superimpositionAbstract
The method of curve surface discrete geometric modeling on the basis of two discrete frames superimpositions, formed by a static-geometric method, and on the basis of a single surface curve nodal points superimposition, also formed by static-geometric method, is considered. It has been determined that the suggested method allows to model balanced discrete structures formed on the specified contour nodes, as well as those passing through the specified nodal points without composing and solving equations systems.
References
Meek D. Constrained interpolation with rational cubic / D. Meek, B. Ong, D. Walton // Computer Aided Geometric Design. − 2003. – Vol. 20, Issue 5. – P. 253 −275.
Dietz D. Interpolation with cubic spirals / D. Dietz, B. Piper // Computer Aided Geometric Design. − 2004. − Vol. 21, Issue 2. – P. 165 −180.
Kovalev S. N. Discrete surface models of spatial architectural constructions discrete surface models formation: Thesis... DEA: 05.01.01 / S. N. Kovalev. – M. : MAI, 1986. – 348 p.
Pustyulga S. . Discrete identification of geometric objects by numerical sequences: Thesis. ... DEA: 05.01.01 / S. I. Pustyulga. – K. : KNUBA, 2006. – 322 p.
Hai Ch.H. Control of the stretched systems shape based on functional addition: Thesis. ... DEA: 05.01.01 / Ch.H. Hai. – K., 1994. – 124 p.
Kovalev S. N. On superimpositions / S.N. Kovalev // Applied Geometry and Engineering Graphics: Collection of scient. works. – K. : KNUBA, 2010. – Issue 84. – P. 38 – 42.
Vorontsov O. V. Determination of the discrete analogue of the n-degree polynomial by superimposition of the n-order numerical sequence points / O. V. Vorontsov // Applied Geometry and Engineering Graphics: Collection of scient. works. – K. : KNUBA, 2012. – Issue 90. –
P. 63 – 67.
Vorontsov O. V. Discrete interpolation by superimpositions of numerical sequences points of fractional-linear functions / O. V. Vorontsov, N. O. Makhinko // Applied Geometry and Engineering Graphics: Collection of scient. works of TDATA. – Melitopo, TDATA, 2013. – Vol. 57. Issue. 4. – P. 62 – 67.
Vorontsov O. V. Properties of point sets superimpositions / O.V. Vorontsov // Applied Geometry and Engineering Graphics: Collection of scient. works. – K .: KNUBA, 2010. – Issue 86. –
P. 345 – 349.
Vorontsov O. V. Determination of elementary functions classes discrete analogues by superimpositions of one-dimensional point sets [Electronic resource] / O. V. Vorontsov, L. O. Tulupova // Universsum. Ser: Engineering: electron. scientific journal. – 2014. – No. 3 (4). – Access mode: URL: http://7universsum.Com/ru/tech/archive/item/1135.
Vorontsov O. V. Discrete modeling of design objects geometric images by superimpositions of one-dimensional numerical sequences considering functional load / O. V. Vorontsov // Academic journal. Series: Industrial Machine Building, Civil Engineering. – Poltava: PoltNTU, 2015. – Issue 3 (45). – P. 28 – 39.
Applied Geometry and Engineering Graphics. Special section / S. M. Kovalev, M. S. Humen, S. I. Pustyulga et al. – Lutsk: RVV LDTU, 2006. – Issue 1. – P. 142 – 144.